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The Invariant Szeg\H{o} metric on strongly pseudoconvex domains

math.CV · 2026-05-25 · unverdicted · novelty 6.0

The Fefferman-Szegő metric on C^∞-smooth bounded strongly pseudoconvex domains in C^n has vanishing L2-Dolbeault cohomology outside middle degree, C^∞ bounded geometry, and yields rigidity results implying the domain is biholomorphic to the ball under gradient Kahler-Ricci soliton or constant scalar

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  • The Invariant Szeg\H{o} metric on strongly pseudoconvex domains math.CV · 2026-05-25 · unverdicted · none · ref 36

    The Fefferman-Szegő metric on C^∞-smooth bounded strongly pseudoconvex domains in C^n has vanishing L2-Dolbeault cohomology outside middle degree, C^∞ bounded geometry, and yields rigidity results implying the domain is biholomorphic to the ball under gradient Kahler-Ricci soliton or constant scalar

  • The invariant Szeg\H{o} metric on Egg domains math.CV · 2026-06-23 · unverdicted · none · ref 26

    Explicit Fefferman-Szegő metric on egg domains D_{2m} is Kähler-Einstein and proportional to Bergman metric iff m=1.